**Explanation :**The structure of the diagram remains the same from the first to the second figures, the only difference between the two being that the dots come inside the inner figure and the diagonal shading goes outside. The same change would be seen from the third to the fourth figure. Thus, option (a) is the correct answer.

**Explanation :**Solve this one through options: For option (a) the numbers would move in this fashion:

Thus, the numbers in the first option match the conditions in the question. Option (a) is correct.**Explanation :**In the first figure the number at the bottom is the addition of the other three numbers in the circle. 102 + 9 + 90 = 201.

Thus, the missing number in the second case would be: 203 + 7 + 70 = 280. Option (a) is correct.**Explanation :**The four series that are running in the words are:

1. First letter of every word: T, V, X. So the missing letter is Z (as there is one letter

missing between T and V, so also between V and X). Thus, after X we would skip Y and

use Z as the first letter of the last word.

2. Second letter of every word: B, E, H. So the missing letter is K (as there are two letters

missing between B and E, so also between E and H). Thus, after H we would skip I and

J and use K as the second letter of the last word.

3. Third letter of every word: L, P, T. So the missing letter is X (as there are three letters

missing between L and P, so also between P and T). Thus, after T we would skip U,V

and W and use X as the third letter of the last word.)

4. Similarly D-I-N-S. (skip 4 letters).

Thus, the correct answer would be ZKXS. Option (c) is correct.**Explanation :**Option (b) can be rejected because if that is the correct order of finishing both of Brian's

statements would be true which is not possible as per the conditions stated in the question, as

one statement has to be true and the other has to be false for each of the three.

Similarly option (c) can be rejected because, if that order were true both of Sachin's statements would turn out to be false.

Option (d) is also rejected as if that order were true, both of Brian's statements would end up

being false.

Option (a) is true as it gives 1 true and 1 false statement for each of the three.

Thus, option (a) is the correct answer.**Explanation :**The following Venn diagram would make things clear in this case:

The above Venn diagram shows that 5x = 60 AE x = 12.

Hence, the number of people who drink both tea and coffee is 12.**Explanation :**The clock strikes thrice at 3 o'Clock and the time it would take to strike 3 o'Clock would

essentially be due to two time periods between strikes of the clock. If the clock takes 6

seconds to strike 3 o'clock it means that the time period between 2 strikes of the clock is 3

seconds. Thus, to strike 9, it would take 8 strikes of the clock - which means that it would

take 24 seconds to strike 9.

Option (a) is correct.

**Ans . **

(a)

**Ans . **

(a) A-110, B-10, C-10, D-10

**Ans . **

(a) 280

**Ans . **

(c) ZKXS

**Ans . **

(a) Brian, Ricky, Sachin

**Ans . **

(b) 12

**Ans . **

(a) 24 seconds

**Directions for Questions 8 and 9:** E-1, E-2 and E-3 are three engineering students writing their
assignments at night. Each of them starts at a different time and completes at a different time. The digit
in their name and the order of their starting and completing the assignment is certainly not the same.
The last student to start is the first to complete the assignment.

**Explanation :**The last to start is the first to complete and this cannot be either E-1 or E-3 as the digit in their names

is certainly not the same as the order of their starting or ending the assignment. Thus, the last to start

and the first to finish has to be E-2. Naturally then, E-3 would be the first to start and since he cannot

complete the assignment last, he would be completing the assignment second last. E-1 would be the

second to start and the last to finish.

Thus, the following would give us the final grid about the starting and finishing orders:

The answers would then be:

E-3 would be the first to start. Option (c) is correct.**Explanation :**The last to start is the first to complete and this cannot be either E-1 or E-3 as the digit in their names

is certainly not the same as the order of their starting or ending the assignment. Thus, the last to start

and the first to finish has to be E-2. Naturally then, E-3 would be the first to start and since he cannot

complete the assignment last, he would be completing the assignment second last. E-1 would be the

second to start and the last to finish.

Thus, the following would give us the final grid about the starting and finishing orders:

The answers would then be:

E-1 is the last to complete the assignment. Option (a) is correct

**Ans . **

(c) E-3

**Ans . **

(a) E-1

**Directions for Questions 10 and 11:** A, B and C are three students from Don School and P, Q and R
are three students from Elite School. Q is brighter than R but duller than the Don School student who
is brighter than A. The same Don School student is duller than P but is brighter than C.

**Explanation :**Reading the basic conditions should make you string a few logics together as follows:

1. Since Q is brighter than R, but is duller than the Don School student who is duller than P,

we have the order P > Q > R in terms of brightness of the Elite school students.

2. There is one Don school student who is brighter than A. Thus, A must be the second

brightest Don School student. Also, since the same Don School student is brighter than C,

we are talking about B. Thus, the Don School students in terms of brightness would be: B>A>C.

It is also known that B is duller than P. Thus we can move to answer the question.

P is the brightest as he is brighter than B (hence brighter than A and C) as well as brighter

than Q and R. Option (b) is correct**Explanation :**Reading the basic conditions should make you string a few logics together as follows:

1. Since Q is brighter than R, but is duller than the Don School student who is duller than P,

we have the order P > Q > R in terms of brightness of the Elite school students.

2. There is one Don school student who is brighter than A. Thus, A must be the second

brightest Don School student. Also, since the same Don School student is brighter than C,

we are talking about B. Thus, the Don School students in terms of brightness would be: B>A>C.

It is also known that B is duller than P. Thus we can move to answer the question.

R is the dullest amongst the Elite school students and the logic is explained in the explanation above.**Explanation :**There are two scenarios possible as follows:

Scenario 1: Order between Roger and Rafael is Roger then Rafael. In this case the thought

process is as follows:

Since, Rafael is 11th, Roger would be the 5th person to enter the class. Also, since there are

10 people who enter the class after Roger, there would be a total of 15 people in the class

finally.

Scenario 2: Order between Roger and Rafael is Rafael then Roger. In this case the thought

process is as follows:

Since, Rafael is 11th, Roger would be the 17th person to enter the class. Also, since there are

10 people who enter the class after Roger, there would be a total of 27 people in the class

finally.

Option (c) is correct.

**Ans . **

(b) P

**Ans . **

(c) R

**Ans . **

(c) 27

**Directions for Questions 13 and 15:** Arijit, Biplab, Chintan, Debashish, Elangovan, Frederick,
Gautam and Himadri are sitting around a circular table. Some information about the order in which
they are sitting is available as follows:
(a) Debashish is sitting opposite to Himadri and to the immediate right of Gautam.
(b) Elangovan is sitting to the immediate right of Biplab.
(c) Arijit is sitting opposite Chintan who is not immediately next to Frederick on either side.

**Explanation :**The following logical thinking would help you reach the final figure. Using the first clue we get the

following figure:

At this point we use the third clue which gives us the following possible diagrams:

Possibility 1:

This possibility is rejected as Elangovan has to be to the immediate right of Biplab, but the two

places left are not together.

Possibility 2:

This possibility is also rejected as we cannot place Elangovan and Biplab next to each other in this

case. So we move to the next possibility of placing Chintan, Arijit and Frederick.

Possibility 3:

Again this possibility is not possible as we do not have two adjacent places for Biplab and

Elangovan.

Possibility 4:

This is the only possibility of meeting all the three conditions of seating arrangements for the 8 people

around the circle and hence is the correct arrangement. This is because any arrangement where

Chintan and Arijit occupy the opposite positions as shown in the figure below by ''X'' would not give

us 2 adjacent seats for Biplab and Elangovan.

Thus the final arrangement is the one we got in possibility 4.

The answers can be read off this arrangement.

Arijit is sitting to Himadri's immediate right. Option (a) is correct.**Explanation :**The following logical thinking would help you reach the final figure. Using the first clue we get the

following figure:

At this point we use the third clue which gives us the following possible diagrams:

Possibility 1:

This possibility is rejected as Elangovan has to be to the immediate right of Biplab, but the two

places left are not together.

Possibility 2:

This possibility is also rejected as we cannot place Elangovan and Biplab next to each other in this

case. So we move to the next possibility of placing Chintan, Arijit and Frederick.

Possibility 3:

Again this possibility is not possible as we do not have two adjacent places for Biplab and

Elangovan.

Possibility 4:

This is the only possibility of meeting all the three conditions of seating arrangements for the 8 people

around the circle and hence is the correct arrangement. This is because any arrangement where

Chintan and Arijit occupy the opposite positions as shown in the figure below by ''X'' would not give

us 2 adjacent seats for Biplab and Elangovan.

Thus the final arrangement is the one we got in possibility 4.

The answers can be read off this arrangement.

Frederick is sitting opposite Biplab. Option (c) is correct.**Explanation :**The following logical thinking would help you reach the final figure. Using the first clue we get the

following figure:

At this point we use the third clue which gives us the following possible diagrams:

Possibility 1:

This possibility is rejected as Elangovan has to be to the immediate right of Biplab, but the two

places left are not together.

Possibility 2:

This possibility is also rejected as we cannot place Elangovan and Biplab next to each other in this

case. So we move to the next possibility of placing Chintan, Arijit and Frederick.

Possibility 3:

Again this possibility is not possible as we do not have two adjacent places for Biplab and

Elangovan.

Possibility 4:

This is the only possibility of meeting all the three conditions of seating arrangements for the 8 people

around the circle and hence is the correct arrangement. This is because any arrangement where

Chintan and Arijit occupy the opposite positions as shown in the figure below by ''X'' would not give

us 2 adjacent seats for Biplab and Elangovan.

Thus the final arrangement is the one we got in possibility 4.

The answers can be read off this arrangement.

Biplab is to Chintan's immediate right. Option (b) is correct

**Ans . **

(a) Arijit

**Ans . **

(c) Frederick

**Ans . **

(b) Biplab

**Directions for Questions 16 and 17:** A, B, C, D and E sit on a long bench. C does not sit next to A
or E. A and E have three persons sitting between them.

**Explanation :**The arrangement of the 5 people would be as below:

The answers are:

C is sitting in the middle of the bench. Option (b) is correct.**Explanation :**The arrangement of the 5 people would be as below:

The answers are:

A and E are at the extreme ends of the bench. Option (a) is correct.**Explanation :**The logic of the second row is:

[Square of the number immediately above it - 2]

Thus, 2^{2}- 2 = 2; 4^{2}- 2 = 14; 6^{2}- 2 = 34

Hence, 8^{2}- 2 = 62

Option (b) is correct.**Explanation :**Check the options to see which one fits all the conditions.

If we check for adherence to the first condition itself we can see that only option (d) satisfies

the first condition, viz: Vol 5 is

directly to the right of Vol 2. Option (d) is correct.

**Explanation :**If you were to look at the logic of the statements, none of the four statements perfectly leads to

the conclusion: All German philosophers except for Marx are idealists. In this context, only

option (d) to some extent justifies the conclusion, if we were to know further that he is the

only one amongst the German philosophers who is not an idealist. The other options do not

lead to this conclusion by any stretch of logic/imagination.

In the light of there not being a better answer to the question, option (d) is to be chosen as the

correct answer.**Explanation :**Option (b) is correct. Assume that, the candles had a length of 6 inches each. In 3 hours, the

thicker candle would be half as long as it's original length. Thus, the thicker candle would be

3 inches long. The thinner candle in the same time would be only 1/4th as long as itÓł original

length. Thus, the thinner candle would be 1.5 inches long after 3 hours. Thus, if both candles

burn for 3 hours, the thicker candle is double the length of the thinner candle. Option (b) is the

correct answer.**Explanation :**Trial and error gives us that

in case the original ratio is \( \frac{18}{27} \),

the new ratio would be \( \frac{12}{27} \)

- a value of 0.4444. Option (b) is correct.**Explanation :**Use trial and error with the values in the options.

Option (a) fails the test because if X and Y are 3 and 6 respectively he would get 6 Rupees 3

paise instead of 3 Rupees 6 paise. After spending 20 paise he has 5.83 which is not the

double of 3.06. Option (a) is hence, rejected.

Checking option (b). He gets 53.26 and after spending 20 paise he is left with 53.06. The

original amount he wanted to withdraw was 26.53. Thus, the amount he has left with him

after spending 20 paise is double the amount he had wanted to withdraw.

This is the condition in the problem that needs to be satisfied. Hence, option (b) is the correct answer.**Explanation :**If you were to take out 3 pieces,

you would be sure to get a pair of the same color in all cases.

Option (d) is correct.**Explanation :**1000 people are counted 1200 times in this case.

The only explanation for this is that there is

an overlap of 200 people who have both Dot Net and Java skills. Option (b) is correct.**Explanation :**The statement in option (b) best supports the sentence most strongly. The original sentence

basically tells us that any athlete who does not have a well balanced diet is a bad athlete. The

statement "No athlete who does not eat a well balanced diet, is a good athlete" essentially

says the same thing by using a double negative.

Note that option (c) is also close here, but the reason we can reject it is that it means

something to the effect that-any athlete who eats a well balanced diet is a good athlete. This

means that "eating a balanced diet" is a necessary and sufficient condition to being a good

athlete.

However, the condition "eating a well balanced diet" is a necessary but not a sufficient

condition for being a "good athlete".**Explanation :**The balance of the grid would be maintained only by using the numbers - 8, 1024 and 32 in

the missing places.

Option (b) is correct.**Explanation :**17 = 17x/(1 - x) Æ 17 - 17x = 17x Æ 34x = 17 Æ x = 0.5

Thus, (2x)*x = 1/2. Option (d) is correct.

**Ans . **

(b) C

**Ans . **

(a) A & E

**Ans . **

(b) 62

**Ans . **

(d) 2, 5, 1, 3, 6, 4

**Ans . **

(d) Marx is not an idealist German philosopher.

**Ans . **

(b) 3 hours

**Ans . **

(b) 21

**Ans . **

(b) X = 26, Y= 53

**Ans . **

(d) 3 pieces only

**Ans . **

(b) 200

**Ans . **

(b) No athlete who does not eat a well balanced diet is a good athlete.

**Ans . **

(b) {8, 1024, 32}

**Ans . **

(d) \( \frac{1}{2} \)